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Finding the Fourth Proportional to 4,698.72, 7,046.46 and 1,620

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Solution

The fourth proportional to 4,698.72, 7,046.46 and 1,620 is: 2,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.72 : 7,046.46 = 1,620 : x
  2. Step 2: Convert to fraction form
    4,698.72/7,046.46 = 1,620/x
  3. Step 3: Cross multiply
    4,698.72x = 7,046.46 × 1,620
  4. Step 4: Simplify right side
    4,698.72x = 11,415,265.20
  5. Step 5: Solve for x
    x = 11,415,265.20/4,698.72
  6. Step 6: Final answer
    x = 2,429.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.